Question

Sophia and Heather are two friends who say they have no previous knowledge of statistics. They...

Sophia and Heather are two friends who say they have no previous knowledge of statistics. They are going to take a placement test to see if they should start at the introductory level or not.

The placement test is a multiple-choice test with 60 questions. Each question has 4 multiple-choice options with exactly one correct answer.

What is the expected number (mean) of correct answers if a student were to randomly guess? (Do not round)

What is the standard deviation for the number of correct answers if a student were to randomly guess? (Round to two decimal places)

The usual number of correct answers, if a student were to randomly guess, would be to . (Round to the nearest whole number that would be within the interval.)

What is the probability of getting 12 or more questions correct if you are randomly guessing? (Round to four decimal places.)

What is the probability of getting 38 or more questions correct if you are randomly guessing? (Round to four decimal places.)

Sophia got 12 questions correct.

Heather got 38 questions correct.

Is it reasonable to believe that Sophia had no prior knowledge of statistics?

  • yes
  • no

Why or why not?

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
Sophia and Heather are two friends who say they have no previous knowledge of statistics. They...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • A student taking a midterm exam in Ancient History comes to two questions pertaining to a...

    A student taking a midterm exam in Ancient History comes to two questions pertaining to a lecture that he missed, so he decides to take a random guess on both questions. One question is true-false and the other is multiple choice with four possible answers. 1. What is the probability of guessing the correct answers to both the true/false question and the multiple choice question? 2.  What is the probability of guessing the incorrect answers to both the true/false question and...

  • Steve is a student in a statistics course. He is not a good student. A multiple-choice...

    Steve is a student in a statistics course. He is not a good student. A multiple-choice test is coming up and he will just rely on luck to pass the test. There are 10 multiple-choice questions on the test, with 5 possible answers given for each question, one of them being the correct one. Steve is going to guess the answer to each question. What is the probability that Steve gets no answers correct? What is the probability that Steve...

  • A true/false test has 60 questions. A passing grade is 56% or more correct answers. a....

    A true/false test has 60 questions. A passing grade is 56% or more correct answers. a. What is the probability that a person will guess correctly on one true/false question? b. What is the probability that a person will guess incorrectly on one question? c. Find the approximate probability that a person who is just guessing will pass the test. d. If a similar test were given with multiple-choice questions with four choices for each question, would the approximate probability...

  • A​ true/false test has 30 questions. A passing grade is 70% or more correct answers. Answer_____(Type...

    A​ true/false test has 30 questions. A passing grade is 70% or more correct answers. Answer_____(Type an integer or a​ decimal.) a. What is the probability that a person will guess correctly on one​ true/false question?Answer________ b. What is the probability that a person will guess incorrectly on one​ question?Answer________ c. Find the approximate probability that a person who is just guessing will pass the test.Answer________ d. If a similar test were given with​ multiple-choice questions with four choices for...

  • i need help with my statistics homework. it would be amazing if you can help me...

    i need help with my statistics homework. it would be amazing if you can help me with all three. Question Completion Status: QUESTION 1 A student randomly guesses at 7 multiple choice questions. Find the probability that the student guesses 5 or more correctly. Each question has 6 possible answers with only one correct answer, and each question is independent of every other question. (round to the nearest ten thousandths. i.e. 4 decimal places. Use the Binomial Formula) 10 points...

  • A student takes an exam containing 1818 multiple choice questions. The probability of choosing a correct...

    A student takes an exam containing 1818 multiple choice questions. The probability of choosing a correct answer by knowledgeable guessing is 0.30.3. At least 1212 correct answers are required to pass. If the student makes knowledgeable guesses, what is the probability that he will fail? Round your answer to four decimal places.

  • A student takes an exam containing 16 multiple choice questions. The probability of choosing a correct...

    A student takes an exam containing 16 multiple choice questions. The probability of choosing a correct answer by knowledgeable guessing is 0.5. At least 11 correct answers are required to pass. If the student makes knowledgeable guesses, what is the probability that he will pass? Round your answer to four decimal places.

  • A student takes an exam containing 10 multiple-choice questions. The probability of choosing a correct answer...

    A student takes an exam containing 10 multiple-choice questions. The probability of choosing a correct answer by knowledgeable guessing is 0.5. At least 6 correct answers are required to pass. If the student makes knowledgeable guesses, what is the probability that he will fail? Round your answer to four decimal places.

  • Statistics question

    A student is taking a multiple-choice exam in which each question has four choices. Assume that the student has no knowledge of the correct answers to any of the questions. She has decided on a strategy in which she will place four balls (marked A, B, C, and D) into a box. She randomly selects one ball for each question and replaces the ball in the box. The marking on the ball will determine her answer to the question. There...

  • Suppose a teacher gives her statistics class a four question, multiple-choice quiz at the beginning of...

    Suppose a teacher gives her statistics class a four question, multiple-choice quiz at the beginning of the semester to measure how well prepared they were for the class 2. 3 and 4 questions correct. Using 0.05, perform a chi-square test to determine if the R ution EEB CI Number of Correct Answers per Student Frequency o C. 10 10 10 40 homial probability distribution What i Total robability distribution nomial probability distibution Print Done H The mean number of correct...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT